Q$\mathrm{.}1)$ A Bracket is subjected to three forces and a moment as shown below.

$($a$)$ Replace the given loading $($force system$)$ by an equivalent resultant force and moment $($Resultant force system$)$ at point A$.$ Include a sketch of the equivalent resultant force and the moment at $A.$

$($b$)$ Replace the equivalent resultant force and moment at $A$ by a single resultant force $($simplest resultant$)$ and find $x$ and $y$ intercepts of its line of action. Include a sketch of the simplest resultant force showing its $x$ and $y$ intercepts.

$($c$)$ Determine the magnitude of the simplest resultant force and the perpendicular distance $d_R$ from point $A$ to the line of action of the simplest resultant.